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Lankford coefficient : ウィキペディア英語版
Lankford coefficient
The Lankford coefficient (also called Lankford value, R-value, or plastic strain ratio)〔Lankford, W. T., Snyder, S. C., Bausher, J. A.: ''New criteria for predicting the press performance of deep drawing sheets.'' Trans. ASM, 42, 1197–1205 (1950).〕 is a measure of the plastic anisotropy of a rolled sheet metal. This scalar quantity is used extensively as an indicator of the formability of recrystallized low-carbon steel sheets.〔Ken-ichiro Mori, ''Simulation of Materials Processing: Theory, Methods and Applications'', (ISBN 9026518226), p. 436〕
== Definition ==
If x and y are the coordinate directions in the plane of rolling and z is the thickness direction, then the R-value is given by
:
R = \cfrac

where \epsilon^p_} is the plastic strain through-the-thickness.
More recent studies have shown that the R-value of a material can depend strongly on the strain even at small strains . In practice, the R value is usually measured at 20% elongation in a tensile test.
For sheet metals, the R values are usually determined for three different directions of loading in-plane (0^, 45^, 90^ to the rolling direction) and the normal R-value is taken to be the average
:
R = \cfrac\left(R_0 + 2~R_ + R_\right) ~.

The planar anisotropy coefficient or planar R-value is a measure of the variation of R with angle from the rolling direction. This quantity is defined as
:
R_p = \cfrac\left(R_0 - 2~R_ + R_\right) ~.


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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